from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import("sage.coding.code_constructions", ["permutation_action", "walsh_matrix"]) _lazy_import("sage.coding.linear_code", [ "LinearCode", "LinearCodeFromVectorSpace", "self_orthogonal_binary_codes"]) # Functions removed from the global namespace _lazy_import('sage.coding', 'codes_catalog', 'codes') _lazy_import('sage.coding', 'channels_catalog', 'channels')
LinearCodeFromCheckMatrix, #deprecated QuadraticResidueCode, QuadraticResidueCodeEvenPair, QuadraticResidueCodeOddPair, random_linear_code, RandomLinearCode, #deprecated ReedSolomonCode, TernaryGolayCode, ToricCode, WalshCode) from .grs import GeneralizedReedSolomonCode from .reed_muller_code import ReedMullerCode, BinaryReedMullerCode from .extended_code import ExtendedCode from .subfield_subcode import SubfieldSubcode from .guava import QuasiQuadraticResidueCode, RandomLinearCodeGuava _lazy_import('sage.coding.punctured_code', 'PuncturedCode') from .hamming_code import HammingCode from . import decoders_catalog as decoders from . import encoders_catalog as encoders from . import bounds_catalog as bounds _lazy_import('sage.coding', 'databases') del _lazy_import from sage.misc.rest_index_of_methods import gen_rest_table_index as _gen_rest_table_index import sys as _sys __doc__ = __doc__.format(INDEX_OF_FUNCTIONS=_gen_rest_table_index( _sys.modules[__name__], only_local_functions=False))
# Implementation note: # # This module is imported as "codes" in all.py so that codes.<tab> is available # in the global namespace. from sage.misc.lazy_import import lazy_import as _lazy_import from .code_constructions import (BCHCode, BinaryGolayCode, CyclicCodeFromGeneratingPolynomial, CyclicCode, CyclicCodeFromCheckPolynomial, DuadicCodeEvenPair, DuadicCodeOddPair, ExtendedBinaryGolayCode, ExtendedQuadraticResidueCode, ExtendedTernaryGolayCode, LinearCode, LinearCodeFromCheckMatrix, QuadraticResidueCode, QuadraticResidueCodeEvenPair, QuadraticResidueCodeOddPair, RandomLinearCode, ReedSolomonCode, TernaryGolayCode, ToricCode, TrivialCode, WalshCode) from .grs import GeneralizedReedSolomonCode from .reed_muller_code import ReedMullerCode, BinaryReedMullerCode from .extended_code import ExtendedCode from .subfield_subcode import SubfieldSubcode from .guava import QuasiQuadraticResidueCode, RandomLinearCodeGuava _lazy_import('sage.coding.punctured_code', 'PuncturedCode') from .hamming_code import HammingCode from . import decoders_catalog as decoders from . import encoders_catalog as encoders from . import bounds_catalog as bounds from sage.misc.rest_index_of_methods import gen_rest_table_index as _gen_rest_table_index import sys as _sys __doc__ = __doc__.format(INDEX_OF_FUNCTIONS=_gen_rest_table_index(_sys.modules[__name__], only_local_functions=False))
r""" Index of Channels: the information theoretic notion of transmission The ``channels`` object may be used to access the codes that Sage can build. - :class:`channel_constructions.ErrorErasureChannel <sage.coding.channel_constructions.ErrorErasureChannel>` - :class:`channel_constructions.QarySymmetricChannel <sage.coding.channel_constructions.QarySymmetricChannel>` - :class:`channel_constructions.StaticErrorRateChannel <sage.coding.channel_constructions.StaticErrorRateChannel>` .. NOTE:: To import these names into the global namespace, use: sage: from sage.coding.channels_catalog import * """ #***************************************************************************** # Copyright (C) 2015 David Lucas <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from __future__ import absolute_import from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.channel_constructions', ['ErrorErasureChannel', 'QarySymmetricChannel', 'StaticErrorRateChannel'])
.. NOTE:: To import these names into the global namespace, use: sage: from sage.coding.encoders_catalog import * """ #***************************************************************************** # Copyright (C) 2009 David Joyner <*****@*****.**> # 2015 David Lucas <*****@*****.**> # 2016 Tania Richmond <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.cyclic_code', ['CyclicCodePolynomialEncoder', 'CyclicCodeVectorEncoder']) _lazy_import('sage.coding.extended_code', 'ExtendedCodeExtendedMatrixEncoder') _lazy_import('sage.coding.grs', ['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder']) _lazy_import('sage.coding.linear_code', ['LinearCodeGeneratorMatrixEncoder', 'LinearCodeSystematicEncoder']) _lazy_import('sage.coding.punctured_code', 'PuncturedCodePuncturedMatrixEncoder') _lazy_import('sage.coding.reed_muller_code', ['ReedMullerVectorEncoder', 'ReedMullerPolynomialEncoder']) _lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcodeParityCheckEncoder') _lazy_import('sage.coding.parity_check_code', ['ParityCheckCodeGeneratorMatrixEncoder','ParityCheckCodeStraightforwardEncoder'])
**Generic encoders** :class:`linear_code.LinearCodeGeneratorMatrixEncoder <sage.coding.linear_code.LinearCodeGeneratorMatrixEncoder>` **Generalized Reed-Solomon code encoders** - :class:`grs.GRSEvaluationVectorEncoder <sage.coding.grs.GRSEvaluationVectorEncoder>` - :class:`grs.GRSEvaluationPolynomialEncoder <sage.coding.grs.GRSEvaluationPolynomialEncoder>` .. NOTE:: To import these names into the global namespace, use: sage: from sage.coding.encoders_catalog import * """ #***************************************************************************** # Copyright (C) 2009 David Joyner <*****@*****.**> # 2015 David Lucas <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.linear_code', 'LinearCodeGeneratorMatrixEncoder') _lazy_import('sage.coding.grs', ['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder'])
- :class:`grs.GRSEvaluationPolynomialEncoder <sage.coding.grs.GRSEvaluationPolynomialEncoder>` **Extended code encoders** - :class:`extended_code.ExtendedCodeExtendedMatrixEncoder <sage.coding.extended_code.ExtendedCodeExtendedMatrixEncoder>` .. NOTE:: To import these names into the global namespace, use: sage: from sage.coding.encoders_catalog import * """ #***************************************************************************** # Copyright (C) 2009 David Joyner <*****@*****.**> # 2015 David Lucas <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.linear_code', ['LinearCodeGeneratorMatrixEncoder', 'LinearCodeParityCheckEncoder']) _lazy_import('sage.coding.grs', ['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder']) _lazy_import('sage.coding.reed_muller_code', ['ReedMullerVectorEncoder', 'ReedMullerPolynomialEncoder']) _lazy_import('sage.coding.extended_code', 'ExtendedCodeExtendedMatrixEncoder') _lazy_import('sage.coding.punctured_code', 'PuncturedCodePuncturedMatrixEncoder') _lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcodeParityCheckEncoder')
from __future__ import absolute_import from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import("sage.coding.code_constructions", ["permutation_action", "walsh_matrix"]) from sage.misc.superseded import \ deprecated_callable_import as _deprecated_callable_import, \ deprecated_function_alias as _deprecated_function_alias _deprecated_callable_import( 19315, "sage.coding.code_bounds", globals(), locals(), [ "codesize_upper_bound", "dimension_upper_bound", "volume_hamming", "gilbert_lower_bound", "plotkin_upper_bound", "griesmer_upper_bound", "elias_upper_bound", "hamming_upper_bound", "singleton_upper_bound", "gv_info_rate", "entropy", "gv_bound_asymp", "hamming_bound_asymp", "singleton_bound_asymp", "plotkin_bound_asymp", "elias_bound_asymp", "mrrw1_bound_asymp" ], ("This method soon will not be available in that way." "Please call codes.bounds.%(name)s instead")) _lazy_import("sage.coding.linear_code", [ "LinearCode", "LinearCodeFromVectorSpace", "self_orthogonal_binary_codes" ]) # Functions removed from the global namespace _lazy_import( 'sage.coding.databases', 'best_linear_code_in_guava', "best_known_linear_code",
from __future__ import absolute_import from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import("sage.coding.code_constructions", ["permutation_action", "walsh_matrix"]) _lazy_import("sage.coding.linear_code", [ "LinearCode", "LinearCodeFromVectorSpace", "self_orthogonal_binary_codes"]) # Functions removed from the global namespace _lazy_import('sage.coding', 'codes_catalog', 'codes') _lazy_import('sage.coding', 'channels_catalog', 'channels')
r""" Index of bounds The ``codes.bounds`` object may be used to access the bounds that Sage can compute. {INDEX_OF_FUNCTIONS} .. NOTE:: To import these names into the global namespace, use: sage: from sage.coding.bounds_catalog import * """ from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import("sage.coding.code_bounds", [ "codesize_upper_bound", "dimension_upper_bound", "volume_hamming", "gilbert_lower_bound", "plotkin_upper_bound", "griesmer_upper_bound", "elias_upper_bound", "hamming_upper_bound", "singleton_upper_bound", "gv_info_rate", "entropy", "gv_bound_asymp", "hamming_bound_asymp", "singleton_bound_asymp", "plotkin_bound_asymp", "elias_bound_asymp", "mrrw1_bound_asymp" ]) from sage.misc.rest_index_of_methods import gen_rest_table_index as _gen_rest_table_index import sys as _sys __doc__ = __doc__.format(INDEX_OF_FUNCTIONS=_gen_rest_table_index( _sys.modules[__name__], only_local_functions=False))
{INDEX_OF_FUNCTIONS} .. NOTE:: To import these names into the global namespace, use: sage: from sage.coding.bounds_catalog import * """ from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import("sage.coding.code_bounds", ["codesize_upper_bound", "dimension_upper_bound", "volume_hamming", "gilbert_lower_bound", "plotkin_upper_bound", "griesmer_upper_bound", "elias_upper_bound", "hamming_upper_bound", "singleton_upper_bound", "gv_info_rate", "entropy", "gv_bound_asymp", "hamming_bound_asymp", "singleton_bound_asymp", "plotkin_bound_asymp", "elias_bound_asymp", "mrrw1_bound_asymp"]) from sage.misc.rest_index_of_methods import gen_rest_table_index as _gen_rest_table_index import sys as _sys __doc__ = __doc__.format(INDEX_OF_FUNCTIONS=_gen_rest_table_index(_sys.modules[__name__], only_local_functions=False))
The ``channels`` object may be used to access the codes that Sage can build. - :class:`channel_constructions.ErrorErasureChannel <sage.coding.channel_constructions.ErrorErasureChannel>` - :class:`channel_constructions.QarySymmetricChannel <sage.coding.channel_constructions.QarySymmetricChannel>` - :class:`channel_constructions.StaticErrorRateChannel <sage.coding.channel_constructions.StaticErrorRateChannel>` .. NOTE:: To import these names into the global namespace, use: sage: from sage.coding.channels_catalog import * """ #***************************************************************************** # Copyright (C) 2015 David Lucas <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from __future__ import absolute_import from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.channel_constructions', ['ErrorErasureChannel', 'QarySymmetricChannel', 'StaticErrorRateChannel']) # We don't want this to appear in tab completion del absolute_import
To import these names into the global namespace, use: sage: from sage.coding.decoders_catalog import * """ from __future__ import absolute_import #***************************************************************************** # Copyright (C) 2009 David Joyner <*****@*****.**> # 2015 David Lucas <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.bch', 'BCHUnderlyingGRSDecoder') _lazy_import('sage.coding.cyclic_code', 'CyclicCodeSurroundingBCHDecoder') _lazy_import('sage.coding.extended_code', 'ExtendedCodeOriginalCodeDecoder') _lazy_import('sage.coding.grs', ['GRSBerlekampWelchDecoder', 'GRSErrorErasureDecoder', 'GRSGaoDecoder', 'GRSKeyEquationSyndromeDecoder']) from .guruswami_sudan.gs_decoder import GRSGuruswamiSudanDecoder _lazy_import('sage.coding.linear_code', ['LinearCodeNearestNeighborDecoder', 'LinearCodeSyndromeDecoder']) _lazy_import('sage.coding.punctured_code', 'PuncturedCodeOriginalCodeDecoder') _lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcodeOriginalCodeDecoder')
sage: from sage.coding.encoders_catalog import * """ #***************************************************************************** # Copyright (C) 2009 David Joyner <*****@*****.**> # 2015 David Lucas <*****@*****.**> # 2016 Tania Richmond <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.cyclic_code', ['CyclicCodePolynomialEncoder', 'CyclicCodeVectorEncoder']) _lazy_import('sage.coding.extended_code', 'ExtendedCodeExtendedMatrixEncoder') _lazy_import('sage.coding.grs_code', ['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder']) _lazy_import( 'sage.coding.linear_code', ['LinearCodeGeneratorMatrixEncoder', 'LinearCodeSystematicEncoder']) _lazy_import('sage.coding.punctured_code', 'PuncturedCodePuncturedMatrixEncoder') _lazy_import('sage.coding.reed_muller_code', ['ReedMullerVectorEncoder', 'ReedMullerPolynomialEncoder']) _lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcodeParityCheckEncoder') _lazy_import('sage.coding.parity_check_code', [ 'ParityCheckCodeGeneratorMatrixEncoder', 'ParityCheckCodeStraightforwardEncoder'
sage: from sage.coding.decoders_catalog import * """ from __future__ import absolute_import #***************************************************************************** # Copyright (C) 2009 David Joyner <*****@*****.**> # 2015 David Lucas <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.bch', 'BCHUnderlyingGRSDecoder') _lazy_import('sage.coding.cyclic_code', 'CyclicCodeSurroundingBCHDecoder') _lazy_import('sage.coding.extended_code', 'ExtendedCodeOriginalCodeDecoder') _lazy_import('sage.coding.grs', [ 'GRSBerlekampWelchDecoder', 'GRSErrorErasureDecoder', 'GRSGaoDecoder', 'GRSKeyEquationSyndromeDecoder' ]) from .guruswami_sudan.gs_decoder import GRSGuruswamiSudanDecoder _lazy_import('sage.coding.linear_code', [ 'LinearCodeNearestNeighborDecoder', 'LinearCodeSyndromeDecoder', 'LinearCodeInformationSetDecoder' ]) _lazy_import('sage.coding.punctured_code', 'PuncturedCodeOriginalCodeDecoder') _lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcodeOriginalCodeDecoder')
- Florentin Jaffredo (2018) : initial version """ # ***************************************************************************** # Copyright (C) 2018 Florentin Jaffredo <*****@*****.**> # # This program is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 2 of the License, or # (at your option) any later version. # http://www.gnu.org/licenses/ # ***************************************************************************** # Lazy import from examples folders: from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.manifolds.differentiable.examples.real_line', 'OpenInterval') _lazy_import('sage.manifolds.differentiable.examples.real_line', 'RealLine') _lazy_import('sage.manifolds.differentiable.examples.euclidean', 'EuclideanSpace') _lazy_import('sage.manifolds.differentiable.examples.sphere', 'Sphere') def Minkowski(positive_spacelike=True, names=None): """ Generate a Minkowski space of dimension 4. By default the signature is set to `(- + + +)`, but can be changed to `(+ - - -)` by setting the optional argument ``positive_spacelike`` to ``False``. The shortcut operator ``.<,>`` can be used to specify the coordinates.
from __future__ import absolute_import from .number_field import (NumberField, NumberFieldTower, CyclotomicField, QuadraticField, is_fundamental_discriminant, is_real_place) from .number_field_element import NumberFieldElement from .order import EquationOrder, GaussianIntegers, EisensteinIntegers from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.rings.number_field.totallyreal', 'enumerate_totallyreal_fields_prim') _lazy_import('sage.rings.number_field.totallyreal_data', 'hermite_constant') _lazy_import('sage.rings.number_field.totallyreal_rel', 'enumerate_totallyreal_fields_all') _lazy_import('sage.rings.number_field.totallyreal_rel', 'enumerate_totallyreal_fields_rel') from .unit_group import UnitGroup
.. NOTE:: To import these names into the global namespace, use: sage: from sage.coding.encoders_catalog import * """ #***************************************************************************** # Copyright (C) 2009 David Joyner <*****@*****.**> # 2015 David Lucas <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.linear_code', [ 'LinearCodeGeneratorMatrixEncoder', 'LinearCodeParityCheckEncoder', 'LinearCodeSystematicEncoder' ]) _lazy_import('sage.coding.grs', ['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder']) _lazy_import('sage.coding.reed_muller_code', ['ReedMullerVectorEncoder', 'ReedMullerPolynomialEncoder']) _lazy_import('sage.coding.extended_code', 'ExtendedCodeExtendedMatrixEncoder') _lazy_import('sage.coding.punctured_code', 'PuncturedCodePuncturedMatrixEncoder') _lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcodeParityCheckEncoder')
from __future__ import absolute_import from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import("sage.coding.code_constructions", ["permutation_action", "walsh_matrix"]) _lazy_import("sage.coding.linear_code", [ "LinearCode", "LinearCodeFromVectorSpace", "self_orthogonal_binary_codes"]) # Functions removed from the global namespace _lazy_import('sage.coding.databases','best_linear_code_in_guava', "best_known_linear_code", deprecation=(21165, "best_known_linear_code has moved to sage.coding.databases.best_linear_code_in_guava")) _lazy_import('sage.coding.databases','best_linear_code_in_guava', "best_known_linear_code_www", deprecation=(21165, "best_known_linear_code_www has moved to sage.coding.databases.best_linear_code_in_guava")) _lazy_import('sage.coding.databases','bounds_on_minimum_distance_in_guava', "bounds_minimum_distance", deprecation=(21165, "bounds_minimum_distance has moved to sage.coding.databases.bounds_on_minimum_distance_in_guava")) _lazy_import('sage.coding.databases','self_orthogonal_binary_codes', "self_orthogonal_binary_codes", deprecation=(21165, "self_orthogonal_binary_codes has moved to sage.coding.databases.self_orthogonal_binary_codes")) _lazy_import('sage.coding.databases','self_dual_binary_codes', "self_dual_codes_binary", deprecation=(21165, "self_dual_codes_binary has moved to sage.coding.databases.self_dual_binary_codes")) _lazy_import('sage.coding.delsarte_bounds','krawtchouk', "Krawtchouk", deprecation=(20908, "Krawtchouk will be removed from the global namespace. Please use codes.bounds.krawtchouk instead.")) _lazy_import('sage.coding.delsarte_bounds','krawtchouk', "Kravchuk", deprecation=(20908, "Kravchuk will be removed from the global namespace. Please use codes.bounds.krawtchouk instead.")) _lazy_import('sage.coding.delsarte_bounds', ["delsarte_bound_hamming_space", "delsarte_bound_additive_hamming_space"],
# version 2 or later (at your preference). # # https://www.gnu.org/licenses/ #***************************************************************************** from __future__ import absolute_import # This module is imported as "codes" in all.py so that codes.<tab> is # available in the global namespace. from sage.misc.lazy_import import lazy_import as _lazy_import from .linear_code import LinearCode _lazy_import('sage.coding.code_constructions', ['DuadicCodeEvenPair', 'DuadicCodeOddPair', 'ExtendedQuadraticResidueCode', 'from_parity_check_matrix', 'QuadraticResidueCode', 'QuadraticResidueCodeEvenPair', 'QuadraticResidueCodeOddPair', 'random_linear_code', 'ToricCode', 'WalshCode']) _lazy_import('sage.coding.subfield_subcode', 'SubfieldSubcode') _lazy_import('sage.coding.extended_code', 'ExtendedCode') _lazy_import('sage.coding.punctured_code', 'PuncturedCode') _lazy_import('sage.coding.parity_check_code', 'ParityCheckCode') _lazy_import('sage.coding.cyclic_code', 'CyclicCode') _lazy_import('sage.coding.bch_code', 'BCHCode') _lazy_import('sage.coding.grs_code', ['GeneralizedReedSolomonCode', 'ReedSolomonCode']) _lazy_import('sage.coding.reed_muller_code', ['BinaryReedMullerCode', 'ReedMullerCode']) _lazy_import('sage.coding.hamming_code', 'HammingCode') _lazy_import('sage.coding.golay_code', 'GolayCode') _lazy_import('sage.coding.goppa_code', 'GoppaCode')
**Generic encoders** :class:`linear_code.LinearCodeGeneratorMatrixEncoder <sage.coding.linear_code.LinearCodeGeneratorMatrixEncoder>` :class:`linear_code.LinearCodeParityCheckEncoder <sage.coding.linear_code.LinearCodeParityCheckEncoder>` **Generalized Reed-Solomon code encoders** - :class:`grs.GRSEvaluationVectorEncoder <sage.coding.grs.GRSEvaluationVectorEncoder>` - :class:`grs.GRSEvaluationPolynomialEncoder <sage.coding.grs.GRSEvaluationPolynomialEncoder>` .. NOTE:: To import these names into the global namespace, use: sage: from sage.coding.encoders_catalog import * """ #***************************************************************************** # Copyright (C) 2009 David Joyner <*****@*****.**> # 2015 David Lucas <*****@*****.**> # # Distributed under the terms of the GNU General Public License (GPL), # version 2 or later (at your preference). # # http://www.gnu.org/licenses/ #***************************************************************************** from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import('sage.coding.linear_code', ['LinearCodeGeneratorMatrixEncoder', 'LinearCodeParityCheckEncoder']) _lazy_import('sage.coding.grs', ['GRSEvaluationVectorEncoder', 'GRSEvaluationPolynomialEncoder'])
from sage.misc.lazy_import import lazy_import as _lazy_import _lazy_import("sage.coding.code_constructions", ["permutation_action", "walsh_matrix"]) _lazy_import("sage.coding.linear_code", "LinearCode") # Functions removed from the global namespace _lazy_import('sage.coding', 'codes_catalog', 'codes') _lazy_import('sage.coding', 'channels_catalog', 'channels')